Question

determine the correct type of reasoning for each of the statements within the following table.

statement	type of reasoning
all right - angles measure 90°. angle ∠trg is a right - angle, so ∠trg must measure 90°.	dropdown
the seas are rough when the skies are red in the morning. the sky is red this morning, so the seas will be rough.	dropdown
athletes who dont drink water during practice become dehydrated. cate is not drinking water during track practice, so he will become dehydrated.	dropdown

Explanation:

1. For "The sum of the measures of the interior angles of any triangle is 180°. Polygon QAG is a triangle, so the sum of the measures of its interior angles must be 180°": This is deductive reasoning as it applies a general rule (sum of triangle - interior angles is 180°) to a specific case (polygon QAG being a triangle).
2. For "All right - angles measure 90°. Angle ∠TRG is a right - angle, so ∠TRG must measure 90°": This is deductive reasoning as it uses a general fact about right - angles to make a conclusion about a specific angle.
3. For "The seas are rough when the skies are red in the morning. The sky is red this morning, so the seas will be rough": This is deductive reasoning as it applies a general statement (seas are rough when skies are red in the morning) to a specific situation (sky is red this morning).
4. For "Athletes who don't drink water during practice become dehydrated. Cade is not drinking water during track practice, so he will become dehydrated": This is deductive reasoning as it applies a general principle (athletes not drinking water during practice become dehydrated) to a specific individual (Cade).

Answer:

1. Deductive
2. Deductive
3. Deductive
4. Deductive